Cyclotron autoresonance—50 years since its discovery

Milant’ev, V. P.

doi:10.3367/ufne.0183.201308f.0875

Cited by 21 publications

(11 citation statements)

References 86 publications

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“…On-resonance dependence of B s upon the frequency f is linear in Fig. 5(d), essentially like the plane-wave case (1).…”

supporting

confidence: 53%

“…Autoresonance Laser Acceleration (ALA) of electrons has a relatively long history [1][2][3][4][5][6]. Theoretical vacuum ALA studies [4,7] have shown that the electron would gain a tremendous amount of energy from the laser field when the initial injection energy, the laser frequency ω and the external magnetic field strength B s , all conspire to achieve resonance, or near-resonance.…”

mentioning

confidence: 99%

“…Fields of the circularly polarized THz radiation are modeled by those of a short Gaussian pulse [18,19]. In addition to the magnetic field strength B s and the THz frequency ω, a third parameter, namely β 0 and, hence, the scaled injection energy of the electron γ 0 , plays a decisive role in determining the (exact, plane-wavebased) resonance condition (1). When a more realistic model is adopted, such as that of a Gaussian beam or pulse, detuning away from resonance results, and one is forced to search for near-resonance by scanning the parameter space of Fig.…”

mentioning

confidence: 99%

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Feasibility of electron cyclotron autoresonance acceleration by a short terahertz pulse

Salamin

Galow

et al. 2015

Opt. Express

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“…On-resonance dependence of B s upon the frequency f is linear in Fig. 5(d), essentially like the plane-wave case (1).…”

supporting

confidence: 53%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Feasibility of electron cyclotron autoresonance acceleration by a short terahertz pulse

Salamin

Galow

et al. 2015

Opt. Express

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“…The equations of form (3), (4) rise while describing the motion of a charged particle in the field of a plane electromagnetic wave running in the direction of a homogeneous magnetic field [10,Sect. 17], see also [11]. If = const, system (3) is integrable and on each solution the component ( ) is bounded.…”

Section: Introductionmentioning

confidence: 99%

Adiabatic approximation in a resonance capture problem

Kalyakin¹

2017

Ufimskii Matematicheskii Zhurnal

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By means of the averaging method, we analyze two model problems on capture into resonance that leads us to the adiabatic approximation in the leading term in the asymptotics. The main aim is an approximate (by using a small parameter) description of the domain of capture into resonance. This domain is in the phase plane and it is formed by the initial points for the resonance solutions with an unboundedly increasing energy. The capture domain depends on an additional parameter involved in the equation. We show that the adiabatic approximation fails as the capture domain becomes narrow. In this case we have to modify substantially the averaging method. As a result, a system of nonlinear differential equations arises for the leading term in the asymptotics and this system is not always integrable.

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“…The previous studies[ [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]] on the topic have not considered the effect of radiation reaction in this scheme. The radiation reaction (or radiative friction) is a recoil force acting on the accelerating (retarding) particle as a result of emission of radiation and can in turn influence the motion of the particle.…”

Section: Introductionmentioning

confidence: 99%

Radiation reaction effect on laser driven auto-resonant particle acceleration

2015

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The effects of radiation reaction force on laser driven auto-resonant particle acceleration scheme are studied using Landau-Lifshitz equation of motion. These studies are carried out for both linear as well as circularly polarized laser fields in the presence of static axial magnetic field. From the parametric study, a radiation reaction dominated region has been identified in which the particle dynamics is greatly effected by this force. In the radiation reaction dominated region the two significant effects on particle dynamics are seen viz., (1) saturation in energy gain by the initially resonant particle, (2) net energy gain by a initially non-resonant particle which is caused due to resonance broadening. It has been further shown that with the optimum choice of parameters this scheme can be efficiently used to produce electrons with energies in the range of hundreds of TeV. The quantum corrections to the Landu-Lifshitz equation of motion have also been taken into account. The difference in the energy gain estimates of the particle by the quantum corrected and classical Landu-Lifshitz equation are found to be insignificant for the present day as well as upcoming laser facilities.

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Cyclotron autoresonance—50 years since its discovery

Cited by 21 publications

References 86 publications

Feasibility of electron cyclotron autoresonance acceleration by a short terahertz pulse

Feasibility of electron cyclotron autoresonance acceleration by a short terahertz pulse

Adiabatic approximation in a resonance capture problem

Radiation reaction effect on laser driven auto-resonant particle acceleration

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